﻿ Obtain the equation of the sphere described on the join of the points A (2, –3, 4) and B(–5, 6, –7) as a diameter. : Kaysons Education

# Obtain The Equation Of The Sphere Described On The Join Of The Points A (2, –3, 4) And B(–5, 6, –7) As A Diameter.

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## Question

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Correct option is

Let P(x, y, z) be any point on the sphere. The extremities of the diameter are (2, –3, 4) and B(–5, 6, –7).

#### SIMILAR QUESTIONS

Q1

Find the equation of the sphere passing through the points (0, 0, 0), (–1, 2, 0), (0, 1, –1) and (1, 2, 5).

Q2

Find the equation of the sphere which passes through the points (1,–3, 4), (1, –5, 2), (1, –3, 0) and has its centre on the plane x + y + z = 0.

Q3

Chord AB is a diameter of the sphere  with coordinates of A as (3, 2, –2). Find the coordinates of B.

Q4

A plane passes through a fixed point (­a, b, c) and cuts axes in A, B, C. Find the locus of the centre of the sphere OABC

Q5

Obtain the equation of the sphere where the points (1, 0, 1) and (5, 4, 5) are the extremities of a diameter. Deduce the equation in Cartesian form. Also find the radius and the centre of the sphere.